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Finding the Fourth Proportional to 7,132.62, 9,841.94 and 4,066.50

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Solution

The fourth proportional to 7,132.62, 9,841.94 and 4,066.50 is: 5,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.62 : 9,841.94 = 4,066.50 : x
  2. Step 2: Convert to fraction form
    7,132.62/9,841.94 = 4,066.50/x
  3. Step 3: Cross multiply
    7,132.62x = 9,841.94 × 4,066.50
  4. Step 4: Simplify right side
    7,132.62x = 40,022,249.01
  5. Step 5: Solve for x
    x = 40,022,249.01/7,132.62
  6. Step 6: Final answer
    x = 5,611.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.